Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints

Hélène Frankowska; Daniela Tonon

doi:10.1137/130906799

Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130906799 ◽

2013 ◽

Vol 51 (5) ◽

pp. 3814-3843 ◽

Cited By ~ 17

Author(s):

Hélène Frankowska ◽

Daniela Tonon

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Constraints ◽

Mayer Problem

Download Full-text

The Goh necessary optimality conditions for the Mayer problem with control constraints

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6759937 ◽

2013 ◽

Cited By ~ 2

Author(s):

Helene Frankowska ◽

Daniela Tonon

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Control Constraints ◽

Mayer Problem

Download Full-text

Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint

Springer INdAM Series - Analysis and Geometry in Control Theory and its Applications ◽

10.1007/978-3-319-06917-3_7 ◽

2015 ◽

pp. 171-207 ◽

Cited By ~ 5

Author(s):

Hélène Frankowska ◽

Nikolai P. Osmolovskii

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Constraint ◽

General Control ◽

Mayer Problem

Download Full-text

Second-order sufficient optimality conditions for control problems with linearly independent gradients of control constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2011101 ◽

2011 ◽

Vol 18 (2) ◽

pp. 452-482 ◽

Cited By ~ 6

Author(s):

Nikolai P. Osmolovskii

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Control Constraints ◽

Linearly Independent

Download Full-text

First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints

Journal of Differential Equations ◽

10.1016/j.jde.2019.09.045 ◽

2020 ◽

Vol 268 (6) ◽

pp. 2949-3015

Author(s):

Hélène Frankowska ◽

Qi Lü

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Evolution Equations ◽

Necessary Optimality Conditions ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Control And State Constraints

Download Full-text

On second-order necessary optimality conditions in the classical sense for systems with nonlocal conditions

Differential Equations ◽

10.1134/s0012266112040179 ◽

2012 ◽

Vol 48 (4) ◽

pp. 614-617 ◽

Cited By ~ 1

Author(s):

Ya. A. Sharifov ◽

N. B. Mamedova

Keyword(s):

Optimality Conditions ◽

Nonlocal Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Classical Sense

Download Full-text

Second-order necessary optimality conditions via directional regularity

Optimization ◽

10.1080/02331939608844203 ◽

1996 ◽

Vol 37 (2) ◽

pp. 113-124 ◽

Cited By ~ 1

Author(s):

M. Studniarski ◽

X.Q. Yang

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Directional Regularity

Download Full-text

Second order necessary optimality conditions for minimizing a sup-type function

Mathematical Programming ◽

10.1007/bf01588788 ◽

1990 ◽

Vol 49 (1-3) ◽

pp. 213-229 ◽

Cited By ~ 26

Author(s):

H. Kawasaki

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Type Function

Download Full-text

Second-order necessary optimality conditions in state constrained optimal control

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6759938 ◽

2013 ◽

Cited By ~ 1

Author(s):

Daniel Hoehener

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Constrained Optimal Control

Download Full-text

Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0648-x ◽

2014 ◽

Vol 165 (3) ◽

pp. 812-836 ◽

Cited By ~ 4

Author(s):

N. T. Toan ◽

Q. H. Ansari ◽

J.-C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

Download Full-text

On strong and weak second-order necessary optimality conditions for nonlinear programming

Optimization ◽

10.1080/02331934.2016.1179300 ◽

2016 ◽

Vol 65 (9) ◽

pp. 1693-1702 ◽

Cited By ~ 2

Author(s):

L. Minchenko ◽

A. Leschov

Keyword(s):

Nonlinear Programming ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order

Download Full-text